TSTP Solution File: GEO186+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:10:00 EDT 2023
% Result : Theorem 2.04s 1.13s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 13 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 162 ( 65 ~; 57 |; 31 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn; 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f15,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f18,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ~ distinct_points(X0,intersection_point(X2,X3)) ),
inference(rectify,[],[f16]) ).
fof(f27,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,intersection_point(X2,X3))
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,intersection_point(X2,X3))
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X0,intersection_point(X2,X3))
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( distinct_points(sK0,intersection_point(sK2,sK3))
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( distinct_points(sK0,intersection_point(sK2,sK3))
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f38,f39]) ).
fof(f43,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f56,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f59,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f40]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f43]) ).
cnf(c_57,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_58,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_59,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_63,negated_conjecture,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f59]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f58]) ).
cnf(c_65,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f57]) ).
cnf(c_66,negated_conjecture,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f56]) ).
cnf(c_155,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_156,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_163,plain,
( ~ convergent_lines(sK2,sK3)
| distinct_lines(sK3,X0)
| convergent_lines(sK2,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_165,plain,
( ~ distinct_points(sK0,intersection_point(sK2,sK3))
| ~ distinct_lines(X0,X1)
| apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(intersection_point(sK2,sK3),X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_175,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_201,plain,
( ~ convergent_lines(sK2,sK3)
| distinct_lines(sK3,sK2)
| convergent_lines(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_233,plain,
( ~ distinct_points(sK0,intersection_point(sK2,sK3))
| ~ distinct_lines(sK3,sK2)
| apart_point_and_line(intersection_point(sK2,sK3),sK2)
| apart_point_and_line(intersection_point(sK2,sK3),sK3)
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK0,sK3) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_236,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_233,c_201,c_175,c_156,c_155,c_63,c_64,c_65,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 19:15:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.04/1.13 % SZS status Started for theBenchmark.p
% 2.04/1.13 % SZS status Theorem for theBenchmark.p
% 2.04/1.13
% 2.04/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.04/1.13
% 2.04/1.13 ------ iProver source info
% 2.04/1.13
% 2.04/1.13 git: date: 2023-05-31 18:12:56 +0000
% 2.04/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.04/1.13 git: non_committed_changes: false
% 2.04/1.13 git: last_make_outside_of_git: false
% 2.04/1.13
% 2.04/1.13 ------ Parsing...
% 2.04/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.04/1.13
% 2.04/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.04/1.13
% 2.04/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.04/1.13 ------ Proving...
% 2.04/1.13 ------ Problem Properties
% 2.04/1.13
% 2.04/1.13
% 2.04/1.13 clauses 19
% 2.04/1.13 conjectures 5
% 2.04/1.13 EPR 14
% 2.04/1.13 Horn 12
% 2.04/1.13 unary 8
% 2.04/1.13 binary 4
% 2.04/1.13 lits 40
% 2.04/1.13 lits eq 0
% 2.04/1.13 fd_pure 0
% 2.04/1.13 fd_pseudo 0
% 2.04/1.13 fd_cond 0
% 2.04/1.13 fd_pseudo_cond 0
% 2.04/1.13 AC symbols 0
% 2.04/1.13
% 2.04/1.13 ------ Schedule dynamic 5 is on
% 2.04/1.13
% 2.04/1.13 ------ no equalities: superposition off
% 2.04/1.13
% 2.04/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.04/1.13
% 2.04/1.13
% 2.04/1.13 ------
% 2.04/1.13 Current options:
% 2.04/1.13 ------
% 2.04/1.13
% 2.04/1.13
% 2.04/1.13
% 2.04/1.13
% 2.04/1.13 ------ Proving...
% 2.04/1.13
% 2.04/1.13
% 2.04/1.13 % SZS status Theorem for theBenchmark.p
% 2.04/1.13
% 2.04/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.04/1.14
% 2.04/1.14
%------------------------------------------------------------------------------